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Bernal S D_2010.pdf - University of Plymouth

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4.2. ARCHITECTURES<br />

S4<br />

f<br />

C3<br />

S3<br />

I<br />

C2<br />

S2<br />

I<br />

o<br />

B.'i<br />

o<br />

o<br />

P(C2.„,^,,„|C3)<br />

1 node<br />

K^ states<br />

(= 60 objects)<br />

P(C3|S4) I<br />

1 node<br />

^j.i.l^*^M<br />

Kc, states<br />

P(S3b..^yJC3)<br />

I ,-a<br />

J \ T7 T<br />

0!Q<br />

WW O !«<br />

'Nt,<br />

^'A*"'«<br />

Oi<br />

**'»'••'«<br />

O!<br />

•»«"•••'>»<br />

O!<br />

««<br />

Oi<br />

••!« n'Mr"^r\<br />

OI<br />

*»'A*".<br />

E j = 1<br />

o/<br />

P(S2t,j,j,5, j„ I C2i^ ,^.,5,)<br />

00<br />

o<br />

>,•<<br />

|o <strong>of</strong>O "lo o;5'-!o oB "lo o» to oa "]o o;ti io o;6 lo<br />

o o o o<br />

E,. = 2 S,,-3<br />

O O<br />

o o<br />

£ii = l<br />

o o<br />

o o I o o<br />

£;;-B £„-S t,,-7<br />

E,.<br />

256 nodes<br />

Kg] states<br />

(=1000<br />

features)<br />

32B nodes<br />

^i4il.nw..<br />

2.463 nodes<br />

O Ks2 states<br />

(= 1000<br />

features)<br />

Figure 4.(5; Bayesian nelwork reproducing Ihe structure and funclionality <strong>of</strong> the 4-level<br />

HMAX model (Serre ei al. 2007b). The number <strong>of</strong> nodes ai each layer and hand<br />

depend on the size <strong>of</strong> ihe input image and the pooling (AN) and sampling (C) parameters.<br />

The figure show.s the inial number <strong>of</strong> nodes ai each layer a.ssuming an<br />

inpui image <strong>of</strong> I6()xl6() pixels, and the parameters defined by Table 4.4. Hach<br />

node in the nelwork has an associated CPT which links it with its parent n(«les.<br />

Similarly, eacii node performs the same internal operations, shown in Figure 4.3.<br />

which correspond lo the dislribuicd implementation ot belief propagation.<br />

156

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